On the perturbation of homogeneous LTI descriptor differential systems

Athanasios A. Pantelous; Athanasios D. Karageorgos; Grigoris I. Kalogeropoulos

doi:10.3182/20110828-6-IT-1002.00124

On the perturbation of homogeneous LTI descriptor differential systems

Athanasios A. Pantelous
, Athanasios D. Karageorgos
, Grigoris I. Kalogeropoulos

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

Abstract

In the literature of linear system and mathematical control theory, several different techniques have been developed for the solution of homogeneous LTI descriptor differential systems. In this paper, we apply the Weierstrass canonical form, and we investigate the conditions under which a system with specific structure and desirable properties is constructed. Consequently, we define the family of perturbed pencils such as the solutions of the initial and the relative perturbed system are r-close with respect to a Frobenius distance. A step-algorithm is also presented enhancing more the results of the paper.

Original language	English
Title of host publication	Proceedings of the 18th World Congress
Subtitle of host publication	The International Federation of Automatic Control
Editors	Sandro Zampieri, Angelo Cenedese
Place of Publication	Doetinchem Netherlands
Publisher	Elsevier
Pages	7497-7502
Number of pages	6
ISBN (Print)	9783902661937
DOIs	https://doi.org/10.3182/20110828-6-IT-1002.00124
Publication status	Published - 2011
Externally published	Yes
Event	International Federation of Automatic Control World Congress 2011 - Università Cattolica del Sacro Cuore, Milano, Italy Duration: 28 Aug 2011 → 2 Sept 2011 Conference number: 18th https://www.ifac2011.org/ https://folk.ntnu.no/skoge/prost/proceedings/aiche-2004/ifac11-proceedings/

Publication series

Name	IFAC-PapersOnLine
Publisher	Elsevier
Number	1
Volume	44
ISSN (Print)	2405-8963

Conference

Conference	International Federation of Automatic Control World Congress 2011
Abbreviated title	IFAC 2011
Country/Territory	Italy
City	Milano
Period	28/08/11 → 2/09/11
Internet address	https://www.ifac2011.org/ https://folk.ntnu.no/skoge/prost/proceedings/aiche-2004/ifac11-proceedings/

Keywords

Linear control systems
Perturbation theory
System theory

Access to Document

10.3182/20110828-6-IT-1002.00124

Cite this

Pantelous, A. A., Karageorgos, A. D., & Kalogeropoulos, G. I. (2011). On the perturbation of homogeneous LTI descriptor differential systems. In S. Zampieri, & A. Cenedese (Eds.), Proceedings of the 18th World Congress: The International Federation of Automatic Control (pp. 7497-7502). (IFAC-PapersOnLine; Vol. 44, No. 1). Elsevier. https://doi.org/10.3182/20110828-6-IT-1002.00124

Pantelous, Athanasios A. ; Karageorgos, Athanasios D. ; Kalogeropoulos, Grigoris I. / On the perturbation of homogeneous LTI descriptor differential systems. Proceedings of the 18th World Congress: The International Federation of Automatic Control. editor / Sandro Zampieri ; Angelo Cenedese. Doetinchem Netherlands : Elsevier, 2011. pp. 7497-7502 (IFAC-PapersOnLine; 1).

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title = "On the perturbation of homogeneous LTI descriptor differential systems",

abstract = "In the literature of linear system and mathematical control theory, several different techniques have been developed for the solution of homogeneous LTI descriptor differential systems. In this paper, we apply the Weierstrass canonical form, and we investigate the conditions under which a system with specific structure and desirable properties is constructed. Consequently, we define the family of perturbed pencils such as the solutions of the initial and the relative perturbed system are r-close with respect to a Frobenius distance. A step-algorithm is also presented enhancing more the results of the paper.",

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doi = "10.3182/20110828-6-IT-1002.00124",

language = "English",

isbn = "9783902661937",

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number = "1",

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editor = "Sandro Zampieri and Angelo Cenedese",

booktitle = "Proceedings of the 18th World Congress",

address = "Netherlands",

note = "International Federation of Automatic Control World Congress 2011, IFAC 2011 ; Conference date: 28-08-2011 Through 02-09-2011",

url = "https://www.ifac2011.org/, https://folk.ntnu.no/skoge/prost/proceedings/aiche-2004/ifac11-proceedings/",

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Pantelous, AA, Karageorgos, AD & Kalogeropoulos, GI 2011, On the perturbation of homogeneous LTI descriptor differential systems. in S Zampieri & A Cenedese (eds), Proceedings of the 18th World Congress: The International Federation of Automatic Control. IFAC-PapersOnLine, no. 1, vol. 44, Elsevier, Doetinchem Netherlands, pp. 7497-7502, International Federation of Automatic Control World Congress 2011, Milano, Italy, 28/08/11. https://doi.org/10.3182/20110828-6-IT-1002.00124

On the perturbation of homogeneous LTI descriptor differential systems. / Pantelous, Athanasios A.; Karageorgos, Athanasios D.; Kalogeropoulos, Grigoris I.
Proceedings of the 18th World Congress: The International Federation of Automatic Control. ed. / Sandro Zampieri; Angelo Cenedese. Doetinchem Netherlands: Elsevier, 2011. p. 7497-7502 (IFAC-PapersOnLine; Vol. 44, No. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

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AU - Pantelous, Athanasios A.

AU - Karageorgos, Athanasios D.

AU - Kalogeropoulos, Grigoris I.

N1 - Conference code: 18th

PY - 2011

Y1 - 2011

N2 - In the literature of linear system and mathematical control theory, several different techniques have been developed for the solution of homogeneous LTI descriptor differential systems. In this paper, we apply the Weierstrass canonical form, and we investigate the conditions under which a system with specific structure and desirable properties is constructed. Consequently, we define the family of perturbed pencils such as the solutions of the initial and the relative perturbed system are r-close with respect to a Frobenius distance. A step-algorithm is also presented enhancing more the results of the paper.

AB - In the literature of linear system and mathematical control theory, several different techniques have been developed for the solution of homogeneous LTI descriptor differential systems. In this paper, we apply the Weierstrass canonical form, and we investigate the conditions under which a system with specific structure and desirable properties is constructed. Consequently, we define the family of perturbed pencils such as the solutions of the initial and the relative perturbed system are r-close with respect to a Frobenius distance. A step-algorithm is also presented enhancing more the results of the paper.

KW - Linear control systems

KW - Perturbation theory

KW - System theory

UR - https://www.scopus.com/pages/publications/84866752049

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DO - 10.3182/20110828-6-IT-1002.00124

M3 - Conference Paper

AN - SCOPUS:84866752049

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Y2 - 28 August 2011 through 2 September 2011

ER -

On the perturbation of homogeneous LTI descriptor differential systems

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